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Find the degree of the D.E y’-10y=0. a)...

Find the degree of the D.E `y’-10y=0`.
a) 1
b) 2
c) 4
d) 3

Text Solution

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The correct Answer is:
A, B, C, D
A uniform rod of mas m and length l is truck at an end.
`rarr v=(Ft)/m`
b. the angular speed about the centre of mass
`Iomega=rxxp`
`implies ((ml^2)/12)xxomega=(l/2)xmv`
`implies (ml^2)/12xxomega=(l/2)xxFt`
`rarr omega=6Ft/ml`
c. K.E. `=1/2mv^2+1/2Iomega^2`
`=1/2xxm((Ft)/m)^2+1/2xxxIomega^2`
`=1/2xxm((F^2t^2)/m^2)+1/2xx(ml^2)/12(36)xx((F^2t^2)/(m^2l^2))`
`=(2F^2t^2)/m`
d. Angular momentum about the centre of mass
`L=mvr`
`=mxx(Ft)/mxx(l/2)=(Flt)/2`
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